Resonances in Extreme Mass-Ratio Inspirals: Asymptotic and Hyperasymptotic Analysis
Resonances in Extreme Mass-Ratio Inspirals: Asymptotic and Hyperasymptotic Analysis
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极端质量比吸气中的共振：渐近和超渐近分析
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
C. Bender
中科院分区：
文献类型：
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作者：
J. Gair;N. Yunes;C. Bender
对于未来的太空探测器来说，引力波的一个预期来源是小型紧凑物体进入更大质量的黑洞。这些来源有可能提供有关天文学和基础物理学的丰富信息。在短时间尺度上，小物体的轨道近似于测地线。克尔黑洞时空的一般测地线有一套完整的积分，可以用运动的三个频率来表征。在螺旋上升的过程中，一个典型的系统将通过共振，其中两个频率变得相称。共振的效果将是在共振期间显著改变螺旋上升的速率。了解这些共振对引力波相位的影响对于探测这些信号以及利用天体物理学和基础物理学的观测结果非常重要。两个微分方程，可能会描述通过一个螺旋通过苏…
An expected source of gravitational waves for future detectors in space is the inspirals of small compact objects into much more massive black holes. These sources have the potential to provide a wealth of information about astronomy and fundamental physics. On short time scales the orbit of the small object is approximately geodesic. Generic geodesics for a Kerr black hole spacetime have a complete set of integrals and can be characterized by three frequencies of the motion. Over the course of an inspiral, a typical system will pass through resonances where two of these frequencies become commensurate. The effect of the resonance will be to alter significantly the rate of inspiral for the duration of the resonance. Understanding the impact of these resonances on gravitational wave phasing is important for the detection of these signals and for the exploitation of the observations for astrophysics and fundamental physics. Two differential equations that might describe the passage of an inspiral through su...